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Finding the Fourth Proportional to 136,169.60, 204,420.80 and 77,046.40

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Solution

The fourth proportional to 136,169.60, 204,420.80 and 77,046.40 is: 115,663.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,169.60 : 204,420.80 = 77,046.40 : x
  2. Step 2: Convert to fraction form
    136,169.60/204,420.80 = 77,046.40/x
  3. Step 3: Cross multiply
    136,169.60x = 204,420.80 × 77,046.40
  4. Step 4: Simplify right side
    136,169.60x = 15,749,886,725.12
  5. Step 5: Solve for x
    x = 15,749,886,725.12/136,169.60
  6. Step 6: Final answer
    x = 115,663.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.